ABSTRACT

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

part 1|124 pages

Cognitive Representations for Numbers and Mathematics

chapter 1|20 pages

About Numerical Representations

Insights from Neuropsychological, Experimental, and Developmental Studies

chapter 7|16 pages

The Cognitive Foundations of Mathematics

The Role of Conceptual Metaphor

part 2|125 pages

Learning and Development of Numerical Skills

chapter 8|16 pages

The Young Numerical Mind

When Does It Count?

chapter 10|16 pages

Learning Mathematics in China and the United States

Cross-Cultural Insights into the Nature and Course of Preschool Mathematical Development

chapter 11|17 pages

Magnitude Representation in Children

Its Development and Dysfunction

part 3|77 pages

Learning and Performance Disabilities in Math and Number Processing

part 4|102 pages

Calculation and Cognition

chapter 19|15 pages

What Everyone Finds

The Problem-Size Effect

chapter 22|17 pages

Mathematical Problem Solving

The Roles of Exemplar, Schema, and Relational Representations

part 5|55 pages

Neuropsychology of Number Processing and Calculation